TOPICS
Search

Almost Everywhere Convergence


A weakened version of pointwise convergence hypothesis which states that, for X a measure space, f_n(x)->f(x) for all x in Y, where Y is a measurable subset of X such that mu(X\Y)=0.


See also

Pointwise Convergence

Explore with Wolfram|Alpha

References

Browder, A. Mathematical Analysis: An Introduction. New York: Springer-Verlag, 1996.

Referenced on Wolfram|Alpha

Almost Everywhere Convergence

Cite this as:

Weisstein, Eric W. "Almost Everywhere Convergence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AlmostEverywhereConvergence.html

Subject classifications